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    [技术]Arizona眼睛模型 [复制链接]

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    离线infotek
     
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    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 O{B[iy(C  
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    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 ;k<n}shD  
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    模型 n'dxa<F2|  
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    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 01 UEd8  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. )^G&p[G  
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    光源 s@WF[S7D  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 > @Ux8#  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ~y#jq,i/  
    B{:JD^V!  
    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 =h`yc$ A(2  
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    图2. 字母F光源的设定方法光 z[7j`J|Kk  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 UR/l M,N;  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ^>g7Kg"0  
    J9tQ@3{f  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ' 9K4A'2[  
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    图5. 视网膜重点采样规格设定
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    脚本 t+R8{9L-  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: uP'x{Pr)  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 Z#-:zD7_  
    余下的脚本计算与屈光度有关的所有参数。 l?+67cQLA  
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    分析 C?UV3  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 07zbx6:t  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 n4albG4  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. E~=`Ac,G2  
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    Dim entity As T_ENTITY @O;gKFx  
    Dim op As T_OPERATION z|VQp,ra  
    Dim mat As T_MODELMATERIAL _uvRC+~R  
    Dim A As Double QEl:>HG  
    Dim pupilDiam As Double @`qhQ  
    Dim eID As Long |Rh%wJ  
    Dim parID As Long +V"t't7  
    Dim count As Integer I8|7~jRB  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ])dq4\Bw  
    Dim tlens As Double, nlens As Double J|DID+M  
    Dim curv As Double, conic As Double JEF2fro:Z  
    Dim ok As Long N :#"4e  
    80X #V  
    Sub Main !n<vN@V*3d  
    '\I.P  
        '用户输入对话框 9{gY|2R_  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1  pw^$WK  
            TextBox 220,21,40,21,.TextBox1 'default: 0 wnaT~r@U'  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 CJ*8x7-t  
            OKButton 40,91,90,21 ?GdoB7(%  
            CancelButton 190,91,90,21 sN6R0YW  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 j@jaFsX |  
            TextBox 220,49,40,21,.TextBox2 'default: 4 (#Vkk]-p  
        End Dialog x|#R$^4CY  
        Dim dlg As UserDialog 3` ov?T(H  
    %P!6cyQS  
        ok = Dialog (dlg) !J3dlUFRO  
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        If ok=0 Then    'cancel button was pressed W^}fAcQKH  
            Print "Execution cancelled." }O_kbPNw  
            End \,YF['Qq  
        End If 3I87|5V,Z  
    ]>E)0<t  
        'Assign accommodation and pupil diameter & use defaults if field left empty 5PY,}1`  
        If dlg.TextBox1 = "" Then d5/x2!mH8  
            A = 0           'Default accommodation h n:  
        Else >w,o|  
            A = CDbl(dlg.TextBox1) i:9f#  
        End If '&?OhSeN  
    #S?xRqkc  
        If dlg.TextBox2 = "" Then K `|%-k+D  
            pupilDiam = 4   'Default pupil diameter tI2V)i!  
        Else {)E)&lL  
            pupilDiam = CDbl(dlg.TextBox2) JI TQ3UL:W  
        End If oBfh1/< <a  
    )bJS*#  
        Print " " B@P +b*%  
        Print "Accommodation = " & A & " Diopters" aRPpDSR?l  
        Print "Pupil Diameter = " & pupilDiam & " mm" (9!$p|d*  
    X?m"86L  
        ' Calculate new parameters with accommodation _J'V5]=4  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness 84xA/BRW  
    }m!L2iK4qk  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens )f#raXa5+  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 5F#Q1gP-  
    nE$8-*BZ_  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens WCK;r{p%I  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens oMM+af  
    r_8[}|7;  
        tlens = 3.767 + 0.04*A                  'Lens thickness L9,;zkgo  
    >LvQ&fAo  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction $ yd "bJK  
    xq#YBi,  
        'Adjust parameters to account for accommodation N~c Y~a  
    l~|x*JTq  
        '*************************************************************************  58S>B'  
        'Aqueous thickness (Position of Lens) {s]yP_  
        '************************************************************************* o>(I_3J[p  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) l/(|rl#6  
        GetCustomElement eID, entity +M@,CbqD  
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        parID = FindFullName( "Geometry.Arizona Eye" ) @|3PV  
    x4b.^5"`:  
        ' Delete any shift(s) in z 7x 6q:4Ep\  
        count = 0 @xKfqKoqg  
        While GetOperationCount(eID)>count Y9YE:s  
            GetOperation eID, count, op nT(Lh/  
            If op.Type="ShiftZ" Then *@2+$fgz  
                DeleteOperation eID,count [SnnOqWw  
                count=count-1 ^oykimYI-  
            End If w(>mP9Cb  
            count=count+1 ~"eQPTd  
        Wend A6ar@$MZ  
    n U0  
        'Set new shift in dm;C @.ML  
        op.Type = "ShiftZ" ;nzzt~aCC  
        op.val1 = taq UbWeE,T~S  
        op.parent = parID hn$l<8=Q_  
        AddOperation eID, op e}F1ZJz  
        Print "Set aqueous humor thickness = " & taq-0.55 ,CGq_>Z  
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        '************************************************************************* mA{G: d  
        'Radius and conic constant of anterior lens G@Jl4iHug"  
        '************************************************************************* @;^7kt  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) C rA7lu'  
        GetConic eID, entity, curv, conic u~JCMM$  
    zO@7V>2  
        SetConic eID, entity, 1/Rant, CCant &]d-R  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant dV~d60jOF  
    #kmZS/"  
        '************************************************************************* oRp;9   
        'Radius and conic constant of posterior lens ;+86q"&n  
        '************************************************************************* #b^x!lR  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) rM|] }M=_V  
        GetConic eID, entity, curv, conic k&<cFZU  
    ~8rVf+bg3  
        SetConic eID, entity, 1/Rpost, CCpost ~s$ jiA1  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 0 It[Pa qG  
    <KBzZ !n5  
        '************************************************************************* )&jE<C0  
        'Lens thickness (Position of posterior lens surface) mN!5JZ' 2  
        '************************************************************************* <'Ppu  
    -Hx._I$l  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) vt(A?$j|A  
    $qvk9 B0E  
        ' Delete any z-shift(s) F:3*i^ L  
        count = 0 k+D32]b@  
        While GetOperationCount(eID)>count 49e~/YY  
            GetOperation eID, count, op dn? #}^,"  
            If op.Type="ShiftZ" Then G $P|F6  
                DeleteOperation eID,count sKIpL(_I$  
                count=count-1 #z( JYw,  
            End If |=\w b^l+  
            count=count+1 U\<8}+x  
        Wend &efwfnG<  
    W-72&\7  
        'Set new z-shift }3}{}w0Y  
        op.Type = "ShiftZ" $@VQ{S  
        op.val1 = tlens c:$W5j('Z  
        op.parent = parID 8J5{}4s\f  
        AddOperation eID, op c@uNA0 p  
        Print "Set lens thickness = " & tlens ^")SU(`  
    j/C.='?%  
        '************************************************************************* 7aV(tMzd  
        'Lens index of refraction BLno/JK0}  
        '************************************************************************* .b3c n  
        eID = FindMaterial( "Lens" ) vvsQf%  
        GetModelMaterial eID, mat ec$kcD!  
     Z>O2  
        mat.Nd = nlens F74^HQ*J  
        SetModelMaterial eID, mat `.0WK  
        Print "Set lens index of refraction = " & nlens K~U5jp c  
    xe=/T# %  
        '************************************************************************* "b#L8kN  
        'Pupil diameter o1dECLQa  
        '************************************************************************* e2P ds`  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 0Ud.u  
    R Cgn\  
        'Adjust pupil diameter (trimming volume inner hole) 3T<aGW1  
    a$7}41F[~s  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" `Dn"<-9:  
    ;I#f:UQ  
        ' Adjust pupil location to just in front of the lens Bq20U:f  
        parID = FindFullName( "Geometry.Arizona Eye" ) ~ .dmfA{  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) /W vgC)  
        count = 0 AJ:(NV1=  
        While GetOperationCount(eID)>count 3~r>G  
            GetOperation eID, count, op Pd~{XM,yfW  
            If op.Type="ShiftZ" Then =Eh~ wm  
                DeleteOperation eID,count GJ3@".+6  
                count=count-1 G!^}z (Mgi  
            End If sK&[sN33  
            count=count+1 k3w(KH @  
        Wend :M |<c9I  
        op.Type = "ShiftZ" {FrcpcrQa  
        op.val1 = taq-0.01 '/ >7pB  
        op.parent = parID c(R=f +  
        AddOperation eID, op q#mw#Uw-  
    &F!Ct(c99  
        Print "Set pupil diameter = " & pupilDiam -/7[\S  
    qi&;2Yv  
        'Update AZ Eye subassembly Description 1 po.Cmx  
        eID = FindFullName( "Geometry.Arizona Eye" ) c^?+"7oO0  
        GetEntity eID, entity A:?|\r  
        entity.Description = "Accommodation = " & A & "D" v'vYN h  
        SetEntity eID, entity m"r=p  
    {Y(#<UDM  
        Update 3O'6 Ae  
        Print "DONE!" sgc pH  
         uxjx~+qFd  
    End Sub k^Gf2%k  
    !97k  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: iz0GL&<  
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    Accommodation = 4 Diopters J'=iEI  
    Pupil Diameter = 4 mm z"vI-~,YU  
    Set aqueous humor thickness = 2.81 65>1f  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 kw gsf5[  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 UrP jZ:K'  
    Set lens thickness = 3.927 T"tR*2HwSd  
    Set lens index of refraction = 1.42672 EJz?GM  
    Set pupil diameter = 4 z :q9~  
    DONE! +'@j~\>^yJ  
     
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